Chaos in a fractional-order financial system

A.A. Khajehnasiri, M. Afshar Kermani and R. Ezzati

International Journal of Mathematics in Operational Research, 2020, vol. 17, issue 3, 318-332

Abstract: In this paper, a fractional order financial system is proposed, and the complex dynamical behaviours of such a system are discussed by numerical simulations. We present a method for solving chaos in fractional-order financial system. Also, we derive the Hat function operational matrix of the fractional order integration and use it to solve the fractional-order financial system. To demonstrate the validity of the presented developments, three numerical simulations are given to verify the effectiveness of the proposed method.

Keywords: chaos; Hat functions; fractional calculus; block pulse function; BPF; operational matrix; state space. (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:ids:ijmore:v:17:y:2020:i:3:p:318-332

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